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24 Oct 2010, 22:35

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The remainder theorem is probably out of scope of the GMAT. Alternatively observe the cyclicity of the powers of 2 modulo 9 :2^1 is 22^2 is 42^3 is 82^4 is 72^5 is 52^6 is 12^7 is 2Pattern repeats ...69 = 6*11 + 3so remainder for 2^69 is 8

The remainder theorem is probably out of scope of the GMAT. Alternatively observe the cyclicity of the powers of 2 modulo 9 :2^1 is 22^2 is 42^3 is 82^4 is 72^5 is 52^6 is 12^7 is 2Pattern repeats ...69 = 6*11 + 3so remainder for 2^69 is 8Answer : (d)

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Can somebody pls explain me what exatcly is going here?

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01 Dec 2010, 00:12

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krishnasty wrote:

shrouded1 wrote:

The remainder theorem is probably out of scope of the GMAT. Alternatively observe the cyclicity of the powers of 2 modulo 9 :2^1 is 22^2 is 42^3 is 82^4 is 72^5 is 52^6 is 12^7 is 2Pattern repeats ...69 = 6*11 + 3so remainder for 2^69 is 8Answer : (d)